傳統報童問題祇考慮某一特定時點的購貨量，除了忽略購貨時點是可選擇的情況 外，同時也忽略了不同購貨時點所預測之需求量的變異數亦會不同的狀況。當供應商利用價 格折扣誘使購貨商提早購貨時，購貨商則須承擔預測偏差成本以換取價格折扣利益；但購貨 商越早購貨，就必需愈早預測未來需求量而使其預測偏差越大。當購貨商平均缺貨水準受限 於缺貨率上限時，面對一個具有品質管制機制的擴充報童問題，如何同時決定其最適購貨時 點與最適購貨量，以使得其成本最小，為本文主要研究內容。本文研究成果可應用於某些期 貨商品的購貨決策問題。

　　　　　In the classical newsboy problem, the order quantity has only been decided at a spot selling time. Both the purchase timing and the time-variant variance of forecasted demand are neglected. When the vendor gives a price discount to stimulate the buyer to advance purchase, the buyer purchases the quantities with a discounted price at the cost of forecast bias. When the buyer purchases commodity by changing his preplanned schedule, it is necessary for the buyer to forecast the demand. This may increase the variance of the demand, which is a forecast bias. When average shortage rate is subject to a specified upper shortage-level, both optimal purchase timing and optimal order quantity are simultaneously decided in an extended distribution free newsboy problem with quality control mechanism in this paper. The resultant outcomes could apply to some cases in futures commodity contracts.